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Finding the Third Proportional to 497,859,294 and 719,258,775

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Solution

The third proportional to 497,859,294 and 719,258,775 is: 1,039,115,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,859,294 : 719,258,775 = 719,258,775 : x
  2. Step 2: Convert to fraction form
    497,859,294/719,258,775 = 719,258,775/x
  3. Step 3: Cross multiply
    497,859,294x = 719,258,775 × 719,258,775
  4. Step 4: Simplify right side
    497,859,294x = 517,333,185,414,500,608
  5. Step 5: Solve for x
    x = 517,333,185,414,500,608/497,859,294
  6. Step 6: Final answer
    x = 1,039,115,251.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.